math questions

[Greensalad]

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1) The entrance tickets to a museum are $9 for each adult, $6 for a retiree, and $2.50 per child under 12. What would be the minimum gross income generated from the sale of child tickets, on the day when the total amount of money received was $210 and 15 adult tickets had been sold?

2) Each DVD movie on sale is either $9 or $4 off its original retail price. If the total amount of discount shown on a receipt had been $106, what would have been the maximum number of $9-discounted-DVDs selected off the shelves by the receipt holder?

The answers were tables of numbers to guess, but how do you know which numbers to guess? Do you know of a better way?

Thanks 🙂

 

[domonas]

1) The entrance tickets to a museum are $9 for each adult, $6 for a retiree, and $2.50 per child under 12. What would be the minimum gross income generated from the sale of child tickets, on the day when the total amount of money received was $210 and 15 adult tickets had been sold?

2) Each DVD movie on sale is either $9 or $4 off its original retail price. If the total amount of discount shown on a receipt had been $106, what would have been the maximum number of $9-discounted-DVDs selected off the shelves by the receipt holder?

The answers were tables of numbers to guess, but how do you know which numbers to guess? Do you know of a better way?

Thanks 🙂

#1: (15 adult tix) x ($9 per tix) = $135
if the total sale was $210,

$210-$135 = $75

is that right?

#2: either $9 or $4 off. total discount was $106.

106 divided by 9 = 11 and some remainder.
but the answer is 10.

if you sold 11 DVD's at $9 discount, the total discount would be $99. 106-99 = 7, which is not divisible by 4.

thus

if you sold 10 DVD's at $9 discount, the total discount would be $90. 106-90 = $16, which means, that 4 dvd's were sold with the $4 discount.

 

[Ex_EE]

For number 1 it asks for the minimum from children not max. You have to figure out what the max amount of money that can come from seniors that leaves an amount that evenly divides by the kids. In this case 10 seniors = $60 leaving $15 for the kids.

 

[Greensalad]

#1: (15 adult tix) x ($9 per tix) = $135
if the total sale was $210,

$210-$135 = $75

is that right?

#2: either $9 or $4 off. total discount was $106.

106 divided by 9 = 11 and some remainder.
but the answer is 10.

if you sold 11 DVD's at $9 discount, the total discount would be $99. 106-99 = 7, which is not divisible by 4.

thus

if you sold 10 DVD's at $9 discount, the total discount would be $90. 106-90 = $16, which means, that 4 dvd's were sold with the $4 discount.

But that's still trial and error. Do you know of a more definitive method? The DAT QR doesn't allow for slack--it sucks.